Atkin-Lehner |
3- 5+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
116025bb |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-1861249482421875 = -1 · 36 · 510 · 7 · 133 · 17 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ -1 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-42708,3966869] |
[a1,a2,a3,a4,a6] |
Generators |
[-1878:8429:8] |
Generators of the group modulo torsion |
j |
-882188800000/190591947 |
j-invariant |
L |
15.642672850355 |
L(r)(E,1)/r! |
Ω |
0.44844516867786 |
Real period |
R |
5.8136697950366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116025w1 |
Quadratic twists by: 5 |